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Finding the Fourth Proportional to 11,796.45, 16,279.04 and 6,491.25

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Solution

The fourth proportional to 11,796.45, 16,279.04 and 6,491.25 is: 8,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.45 : 16,279.04 = 6,491.25 : x
  2. Step 2: Convert to fraction form
    11,796.45/16,279.04 = 6,491.25/x
  3. Step 3: Cross multiply
    11,796.45x = 16,279.04 × 6,491.25
  4. Step 4: Simplify right side
    11,796.45x = 105,671,285.94
  5. Step 5: Solve for x
    x = 105,671,285.94/11,796.45
  6. Step 6: Final answer
    x = 8,957.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.